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Finding the Fourth Proportional to 2,009.87, 3,015.77 and 711.95

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Solution

The fourth proportional to 2,009.87, 3,015.77 and 711.95 is: 1,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.87 : 3,015.77 = 711.95 : x
  2. Step 2: Convert to fraction form
    2,009.87/3,015.77 = 711.95/x
  3. Step 3: Cross multiply
    2,009.87x = 3,015.77 × 711.95
  4. Step 4: Simplify right side
    2,009.87x = 2,147,077.45
  5. Step 5: Solve for x
    x = 2,147,077.45/2,009.87
  6. Step 6: Final answer
    x = 1,068.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.